Bachelor of Science
Dr. Leslie Hatfield
Dr. Douglas Thomasey
Dr. Beth Savage
This research study used mathematical models to analyze and depicted specific battle situations and the outcomes of the zombie apocalypse. The original models that predicted warfare were the Lanchester models, while the zombie apocalypse models were fictional expansions upon mathematical models used to examine infectious diseases. In this paper, I analyzed and compared different mathematical models by examining each model’s set of assumptions and the impact of the change in variables on the population classes. The purpose of this study was to understand the basics of the discrete dynamical systems and to determine the similarities between imaginary and realistic models. The Lanchester models that were examined were the Area Aimed model and the Aimed Fire model, while the Susceptible Zombie Removed model (SZR) and a Susceptible Infected Zombie Removed model (SIZR) portrayed the relationship between different population classes during the zombie apocalypse. From the differential equations used in the four models, I determined the impact of different variables on winning battles and on the likelihood of surviving the zombie apocalypse.
Bauer, Hailey, "Mathematical Models: the Lanchester Equations and the Zombie Apocalypse" (2019). Undergraduate Theses and Capstone Projects. 119.
Discrete Mathematics and Combinatorics Commons, Dynamical Systems Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Mathematics Commons, Partial Differential Equations Commons